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Finding the Third Proportional to 861,702 and 1,363,831

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Solution

The third proportional to 861,702 and 1,363,831 is: 2,158,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,702 : 1,363,831 = 1,363,831 : x
  2. Step 2: Convert to fraction form
    861,702/1,363,831 = 1,363,831/x
  3. Step 3: Cross multiply
    861,702x = 1,363,831 × 1,363,831
  4. Step 4: Simplify right side
    861,702x = 1,860,034,996,561
  5. Step 5: Solve for x
    x = 1,860,034,996,561/861,702
  6. Step 6: Final answer
    x = 2,158,559.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.